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Finding the Third Proportional to 10,273,719 and 22,136,841

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Solution

The third proportional to 10,273,719 and 22,136,841 is: 47,698,377.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,273,719 : 22,136,841 = 22,136,841 : x
  2. Step 2: Convert to fraction form
    10,273,719/22,136,841 = 22,136,841/x
  3. Step 3: Cross multiply
    10,273,719x = 22,136,841 × 22,136,841
  4. Step 4: Simplify right side
    10,273,719x = 490,039,729,459,281
  5. Step 5: Solve for x
    x = 490,039,729,459,281/10,273,719
  6. Step 6: Final answer
    x = 47,698,377.72

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.